49 citations · 237 across the 16 of their papers we have counts for
Showing 2002Show all
3 papers · 1 filter
math.NT2002
Linear statistics of low-lying zeros of L--functions
C. P. Hughes, Z. Rudnick
We consider linear statistics of the scaled zeros of Dirichlet --functions, and show that the first few moments converge to the Gaussian moments. The number of Gaussian moments…
math.NT2002★ 31 cited
Random matrix theory and discrete moments of the Riemann zeta function
C. P. Hughes
We calculate the discrete moments of the characteristic polynomial of a random unitary matrix, evaluated a small distance away from an eigenangle. Such results allow us to make con…
math.PR2002★ 29 cited
Mock-Gaussian Behaviour for Linear Statistics of Classical Compact Groups
C. P. Hughes, Z. Rudnick
We consider the scaling limit of linear statistics for eigenphases of a matrix taken from one of the classical compact groups. We compute their moments and find that the first few…